کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4630084 1340593 2012 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A variational technique for optimal boundary control in a hyperbolic problem
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A variational technique for optimal boundary control in a hyperbolic problem
چکیده انگلیسی
We investigate the problem of controlling the boundary functions in a one dimensional hyperbolic problem by minimizing the functional including the final state. After proving the existence and uniqueness of the solution to the given optimal control problem, we get the Frechet differential of the functional and give the necessary condition to the optimal solution in the form of the variational inequality via the solution of the adjoint problem. We constitute a minimizing sequence by the method of projection of the gradient and prove its convergence to the optimal solution.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 12, 15 February 2012, Pages 6629-6636
نویسندگان
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